Greatest Common Factor of 616/42, 211/77, 323/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 616/42, 211/77, 323/205

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 616/42,211/77,323/205

Given fractions are 616/42,211/77,323/205

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 616,211,323

Greatest Common Factor of Numerators i.e. GCF of 616,211,323 is 1 .

LCM of Denominators means LCM of 42,77,205 as per the given fractions.

LCM of 42,77,205 is 94710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 616,211,323

GCF of Fractions 616/42,211/77,323/205 is 1/94710

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 616,211,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 616,211,323 By Matching Biggest Common Factor Method

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 616,211,323 . The biggest common factor number is the GCF number.
So the greatest common factor 616,211,323 is 1.

Lets's calculate LCM of 42,77,205

7 42, 77, 205
6, 11, 205

∴ So the LCM of the given numbers is 7 x 6 x 11 x 205 = 94710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94710

Therefore, the GCF of Fractions 616/42,211/77,323/205 is 1/94710

Least Common Multiple of 42,77,205 with GCF Formula

Least Common Multiple of 42,77,205 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 42,77,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,77,205) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(42,77,205) x common factors =1 x 7 = 7

LCM(42,77,205) = ( 42 × 77 × 205 ) / 7

LCM(42,77,205) = 662970 / 7

LCM(42,77,205) = 94710


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 616/42, 211/77, 323/205

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 616/42, 211/77, 323/205?

Answer: GCF of Numerators as per given numbers 616/42, 211/77, 323/205 is

GCF of Numerators i.e. for 616,211,323 is 1

LCM of denominators i.e. for 42,77,205 is 94710.

Thus, GCF of Fractions is 1/94710.Finally, GCF of Fractions for 616/42, 211/77, 323/205 is 1/94710.